10133340233440 has 384 divisors, whose sum is σ = 25095277025280. Its totient is φ = 3863808000000.

The previous prime is 10133340233353. The next prime is 10133340233453. The reversal of 10133340233440 is 4433204333101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23511230025 + ... + 23511230455.

It is an arithmetic number, because the mean of its divisors is an integer number (65352283920).

Almost surely, 2^{10133340233440} is an apocalyptic number.

10133340233440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133340233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12547638512640).

10133340233440 is an abundant number, since it is smaller than the sum of its proper divisors (14961936791840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10133340233440 is a wasteful number, since it uses less digits than its factorization.

10133340233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 10133340233440 its reverse (4433204333101), we get a palindrome (14566544566541).

The spelling of 10133340233440 in words is "ten trillion, one hundred thirty-three billion, three hundred forty million, two hundred thirty-three thousand, four hundred forty".